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Finding the Fourth Proportional to 26,716.86, 40,076.31 and 7,997.16

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Solution

The fourth proportional to 26,716.86, 40,076.31 and 7,997.16 is: 11,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,716.86 : 40,076.31 = 7,997.16 : x
  2. Step 2: Convert to fraction form
    26,716.86/40,076.31 = 7,997.16/x
  3. Step 3: Cross multiply
    26,716.86x = 40,076.31 × 7,997.16
  4. Step 4: Simplify right side
    26,716.86x = 320,496,663.28
  5. Step 5: Solve for x
    x = 320,496,663.28/26,716.86
  6. Step 6: Final answer
    x = 11,996.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.